Impedance boundary conditions for a time-domain finite-point method

2018 ◽  
Vol 40 (6) ◽  
Author(s):  
Carlos Spa ◽  
Ricardo Rivas ◽  
Luis Pérez
Keyword(s):  
Boundary Conditions ◽  
Time Domain ◽  
Point Method ◽  
Finite Point ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Finite Point Method

scholarly journals Free Transverse Vibration Analysis of Axially Functionally Graded Tapered Euler-Bernoulli Beams through Spline Finite Point Method

2016 ◽  
Vol 2016 ◽  
pp. 1-23 ◽  
Author(s):  
Peng Liu ◽  
Kun Lin ◽  
Hongjun Liu ◽  
Rong Qin
Keyword(s):  
Boundary Conditions ◽  
Transverse Vibration ◽  
Spline Interpolation ◽  
Computational Cost ◽  
Functionally Graded ◽  
Point Method ◽  
Finite Point ◽  
Various Boundary Conditions ◽  
Finite Point Method ◽  
Free Transverse Vibration

A new model for the free transverse vibration of axially functionally graded (FG) tapered Euler-Bernoulli beams is developed through the spline finite point method (SFPM) by investigating the effects of the variation of cross-sectional and material properties along the longitudinal directions. In the proposed method, the beam is discretized with a set of uniformly scattered spline nodes along the beam axis instead of meshes, and the displacement field is approximated by the particularly constructed cubic B-spline interpolation functions with good adaptability for various boundary conditions. Unlike traditional discretization and modeling methods, the global structural stiffness and mass matrices for beams of the proposed model are directly generated after spline discretization without needing element meshes, generation, and assembling. The proposed method shows the distinguished features of high modeling efficiency, low computational cost, and convenience for boundary condition treatment. The performance of the proposed method is verified through numerical examples available in the published literature. All results demonstrate that the proposed method can analyze the free vibration of axially FG tapered Euler-Bernoulli beams with various boundary conditions. Moreover, high accuracy and efficiency can be achieved.

Comparison of Time-Domain Impedance Boundary Conditions for Lined Duct Flows

AIAA Journal ◽  
2007 ◽  
Vol 45 (6) ◽  
pp. 1333-1345 ◽  
Author(s):  
Christoph Richter ◽  
Frank H. Thiele ◽  
Xiaodong D. Li ◽  
Mei Zhuang
Keyword(s):  
Boundary Conditions ◽  
Time Domain ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions
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